QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#692999 | #9479. And DNA | Forever_Young# | AC ✓ | 2ms | 3960kb | C++20 | 1.6kb | 2024-10-31 15:21:06 | 2024-10-31 15:21:13 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const int MOD = 998244353;
class Matrix {
public:
int n, m;
int v[4][4];
Matrix(int _n = 0, int _m = 0) : n(_n), m(_m) {
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
v[i][j] = 0;
}
}
}
friend Matrix operator*(const Matrix& a, const Matrix& b) {
assert(a.m == b.n);
Matrix res(a.n, b.m);
for (int i = 1; i <= a.n; i++) {
for (int k = 1; k <= a.m; k++) {
for (int j = 1; j <= b.m; j++) {
res.v[i][j] = (res.v[i][j] + 1LL * a.v[i][k] * b.v[k][j]) % MOD;
}
}
}
return res;
}
};
Matrix qpow(Matrix a, int b) {
Matrix res(a.n, a.m);
assert(a.n == a.m);
for (int i = 1; i <= a.n; i++) {
res.v[i][i] = 1;
}
while (b) {
if (b & 1) {
res = res * a;
}
a = a * a;
b >>= 1;
}
return res;
}
int n, m;
int o;
map<int, int> ret;
int solve(int m) {
if (m == 0) {
return 1;
}
if (m == 1) {
return o;
}
if (ret.find(m) != ret.end()) {
return ret[m];
}
if (m % 2 == 0) {
return ret[m] = (solve(m / 2) + solve(m / 2 - 1)) % MOD;
}
return ret[m] = 1LL * solve(m / 2) * o % MOD;
}
int main() {
scanf("%d%d", &n, &m);
n -= 2;
Matrix trans(3, 3);
trans.v[1][3] = 1;
trans.v[2][1] = 1;
trans.v[2][3] = 1;
trans.v[3][2] = 1;
trans = qpow(trans, n - 1);
Matrix init(1, 3);
init.v[1][1] = 3;
init.v[1][2] = 2;
init.v[1][3] = 5;
init = init * trans;
o = init.v[1][1];
printf("%d\n", solve(m));
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 3900kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3892kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 1ms
memory: 3896kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 1ms
memory: 3848kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3904kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3896kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3892kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 1ms
memory: 3768kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3960kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 2ms
memory: 3892kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 1ms
memory: 3812kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 1ms
memory: 3948kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 1ms
memory: 3948kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 1ms
memory: 3912kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 1ms
memory: 3904kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3772kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3956kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 1ms
memory: 3808kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 1ms
memory: 3888kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 1ms
memory: 3948kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 1ms
memory: 3908kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 1ms
memory: 3952kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 1ms
memory: 3888kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 1ms
memory: 3888kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 1ms
memory: 3828kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 1ms
memory: 3912kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 1ms
memory: 3812kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed